This review addresses a central question in the field of complex systems: given a fluctuating
(in time or space), sequentially measured set of experimental data, how should one analyze …

We discuss the concept of discrete-scale invariance and how it leads to complex critical
exponents (or dimensions), ie to the log-periodic corrections to scaling. After their initial …

This third edition offers a comprehensive overview of the latest theories on flow, transport,
and heat-exchange processes in porous media. It also details sophisticated porous media …

Over the past two decades percolation theory has been used to explain and model a wide
variety of phenomena that are of industrial and scientific importance. Examples include …

Concepts, methods and techniques of statistical physics in the study of correlated, as well as
uncorrelated, phenomena are being applied ever increasingly in the natural sciences …

We describe the most important developments in the application of three theoretical tools to
modeling of the morphology of porous media and flow and transport processes in them. One …

The fiber bundle model describes a collection of elastic fibers under load. The fibers fail
successively and, for each failure, the load distribution among the surviving fibers changes …

We clarify the status of log-periodicity associated with speculative bubbles preceding
financial crashes. In particular, we address Feigenbaum's criticism (Feigenbaum JA 2001 …

Inhomogeneous materials, such as plaster or concrete, subjected to an external elastic
stress display sudden movements owing to the formation and propagation of microfractures …

We study the approach to global breakdown in disordered media driven by increasing
external forces. We first analyze the problem by mean-field theory, showing that the failure …